AOE 3124 – Spring 2001 Aerospace Structures

PVW and 1st Castigliano’s Theorem Example # 4: Problem 2

Page 1 of 6

The structure shown below has four elastic bars connected by smooth pins. The elastic bars have the same EA. Bar 2-1 is subject to a thermal change of ∆ T12 . Length of bar 2-1 is L. Determine: 1. Horizontal and vertical displacements at node 1 by using: (a) Principle of Virtual Work, (b) Castigliano’s First Theorem. 2. Member forces 3. Magnitude and direction of the reaction force at node 5